In the context of 3D Computer graphics, which of the following statements is/are correct?

(A) Under perspective projection, each set of parallel lines in the object do not stay parallel in the image (except those that are parallel to the viewplane to start with).

(B) Applying a perspective transformation in the graphics pipeline to a vertex involves dividing by its 'z' coordinate.

(C) Perspective transformation is a linear transformation.

Choose the correct answer from the options given below:

This question was previously asked in
UGC NET Computer Science (Paper 2) 2020 Official Paper
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  1. (A) and (B) only
  2. (A) and (C) only
  3. (B) and (C) only
  4. (A), (B) and (C)

Answer (Detailed Solution Below)

Option 1 : (A) and (B) only
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Detailed Solution

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The correct answer is option 1.

Key Points

  • Under perspective projection, each set of parallel lines in the object do not stay parallel in the image The lines converge to the middle of the projection at a single point. Points of intersection of converging lines with the screen plane generate the projected image on the screen.

           Hence statement I is correct.

  • Applying a perspective transformation in the graphics pipeline to a vertex involves dividing by its 'z' coordinate.

           Hence statement II is correct.

  • Perspective transformation is a non-linear transformation.

           Hence statement III is incorrect.

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